To simplify the expression \((10x - 25y) \div 5\), follow these steps:

1. Factor out the common term from the numerator:  
   \[
   (10x - 25y) = 5(2x - 5y)
   \]
2. Now divide the entire expression by 5:  
   \[
   \frac{5(2x - 5y)}{5} = 2x - 5y
   \]

So, the simplified expression is:
\[
2x - 5y
\]

Would you like further details or have any questions?

Here are 5 related questions for practice:
1. Simplify \((15x - 30y) \div 5\).
2. Simplify \((20a + 35b) \div 5\).
3. Simplify \((25x - 50y) \div 10\).
4. Expand and simplify \(5(2x - 3y)\).
5. Factor the expression \(4x - 8y\).

**Tip:** Always check if there's a common factor before performing division, it can greatly simplify the process!

Simplify the algebraic expression (10x - 25y) ÷ 5 with a step-by-step breakdown. This problem explores key algebra concepts, including factoring and division of algebraic terms, and is suitable for students in Grades 6-8.

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